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Popular >

y=-4x^2+3

Solution

y = - 4 x^{2} + 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 3

X Intercepts : (\frac{3}{2}, 0), (- \frac{3}{2}, 0), Y Intercepts : (0, 3)

Vertex : Maximum (0, 3)

Inverse : - \frac{x - 3}{4}, - - \frac{x - 3}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 3]

Solution steps

Domain of

- 4 x^{2} + 3 : - \infty < x < \infty

Range of

- 4 x^{2} + 3 : f (x) \leq 3

Axis interception points of

- 4 x^{2} + 3 :

X Intercepts

: (\frac{3}{2}, 0), (- \frac{3}{2}, 0),

Y Intercepts

: (0, 3)

Vertex of

- 4 x^{2} + 3 :

Maximum

(0, 3)

Inverse of

- 4 x^{2} + 3 : - \frac{x - 3}{4}, - - \frac{x - 3}{4}

Popular Examples

y = cos (- 8 x)

f(t)=(101)/(4+40e^{-0.25t)}

f (t) = \frac{101}{4 + 40 e ^{- 0.25 t}}

f(a)=121+198a^6+81a^{12}

f (a) = 121 + 198 a^{6} + 81 a^{12}

f (y) = y^{2} - y + 2

y = 4.5 x

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